10133640 has 128 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 2453760.

The previous prime is 10133609. The next prime is 10133657. The reversal of 10133640 is 4633101.

10133640 is a `hidden beast` number, since 10 + 13 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11454 + ... + 12306.

It is an arithmetic number, because the mean of its divisors is an integer number (288225).

Almost surely, 2^10133640 is an apocalyptic number.

10133640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

10133640 is an abundant number, since it is smaller than the sum of its proper divisors (26759160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133640 is a wasteful number, since it uses less digits than its factorization.

10133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10133640 is about 3183.3378708519. The cubic root of 10133640 is about 216.3989540325.

Adding to 10133640 its reverse (4633101), we get a palindrome (14766741).

The spelling of 10133640 in words is "ten million, one hundred thirty-three thousand, six hundred forty".